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Finding the Fourth Proportional to 122,254.29, 183,344.07 and 84,546

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Solution

The fourth proportional to 122,254.29, 183,344.07 and 84,546 is: 126,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,254.29 : 183,344.07 = 84,546 : x
  2. Step 2: Convert to fraction form
    122,254.29/183,344.07 = 84,546/x
  3. Step 3: Cross multiply
    122,254.29x = 183,344.07 × 84,546
  4. Step 4: Simplify right side
    122,254.29x = 15,501,007,742.22
  5. Step 5: Solve for x
    x = 15,501,007,742.22/122,254.29
  6. Step 6: Final answer
    x = 126,793.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.